Analytic continuations and numerical evaluation of the Appell $F_1$, $F_3$, Lauricella $F_D^{(3)}$ and Lauricella-Saran $F_S^{(3)}$ and their application to Feynman integrals

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Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: $F_D$ and $F_S$ Horn-type hypergeometric functions of three variables
The one-loop pentagon to higher orders in $\varepsilon $
On the analytic continuation of the Lauricella function $F_D^{(N)}$
Finding new relationships between hypergeometric functions by evaluating Feynman integrals
F1: a code to compute Appell's $F_{1}$ hypergeometric function
XSummer -- transcendental functions and symbolic summation in form
Hypergeometric representation of the two-loop equal mass sunrise diagram
Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems
Generalized Euler integrals and $A$-hypergeometric functions
A new hypergeometric representation of one-loop scalar integrals in $d$ dimensions
Fonctions hypergéométriques et hypersphériques. Polynômes d'Hermite.
Sur les séries hypergéométriques de deux variables et sur dés équations différentielles linéaires aux dérivés partielles.
Algebraic reduction of one-loop Feynman graph amplitudes
Analytic continuation of the Appell function $F_1$ and integration of the associated system of equations in the logarithmic case
Evaluating Feynman integrals by the hypergeometry
Derivation of functional equations for Feynman integrals from algebraic relations
The system of partial differential equations for the $C_{0}$ function
Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension $d$
Kinematic singularities of Feynman integrals and principal $A$-determinants
Functional reduction of one-loop Feynman integrals with arbitrary masses
Formulas for analytic continuation of Horn functions of two variables
Mellin-Barnes integrals. A primer to particle physics applications
GKZ-hypergeometric systems for Feynman integrals
Feynman integrals as A-hypergeometric functions
Transformations of certain hypergeometric functions of three variables
Macaulay matrix for Feynman integrals: linear relations and intersection numbers
\texttt{FeynGKZ}: a \textit{Mathematica} package for solving Feynman integrals using GKZ hypergeometric systems
FIESTA5: numerical high-performance Feynman integral evaluation
Some exact results for N-point massive Feynman integrals
A massive Feynman integral and some reduction relations for Appell functions
On the integration of the differential equations of five-parametric double-hypergeometric functions of second order
General hypergeometric systems of equations and series of hypergeometric type
On the system of partial differential equations associated with Appell's function F₄
Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables
Analytic continuation of the Kampé de Fériet function and the general double Horn series
Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l}
Multiple Hypergeometric Series: Appell Series and Beyond
Analytic continuation of the Lauricella function with arbitrary number of variables
Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
The analytic theory of systems of partial differential equations
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\texttt{AlgRel.wl}: algebraic relations for the product of propagators in Feynman integrals
Hypergeometric structures in Feynman integrals
On the evaluation of the Appell $F_2$ double hypergeometric function
\texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms
GKZ hypergeometric systems of the three-loop vacuum Feynman integrals
Restrictions of Pfaffian systems for Feynman integrals
Celestial conformal blocks of massless scalars and analytic continuation of the Appell function $F_1$
Feynman integrals in two dimensions and single-valued hypergeometric functions
\texttt{Olsson.wl \& ROC2.wl}: mathematica packages for transformations of multivariable hypergeometric functions \& regions of convergence for their series representations in the two variables case

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Analytic continuations and numerical evaluation of the Appell \(F_1\), \(F_3\), Lauricella \(F_D^{(3)}\) and Lauricella-Saran \(F_S^{(3)}\) and their application to Feynman integrals